An up-and-coming artist has 85 followers on Twitter and this number doubles every week. In what week will the artist first reach 1,000 followers? Use at least two different methods to come up with your answer.

Respuesta :

Answer:

5.8 , which approximately is 6 weeks.

Step-by-step explanation:

the first method is the short one since u just have to double the 85 then divide to 1000.

1000 ÷ ( 85 × 2)

1000 ÷ 170 = 5.882,,,,,. round off to whole number to get 6.

the second method is the addition method.

we start by 85 then keep doubling 85 for every week........inshort.......we add 170 to each weeks number to get the number of followers for the following week.

85 ⇒ 170 ⇒ 340 ⇒ 510 ⇒ 680 ⇒ 850 ⇒ 1020.

     1st      2nd      3rd     4th      5th         6th     week.

u notice that we add (85×2), 170, to get the following week's number of followers..

in 5 weeks..... the number of followers is yet to get to 1000.

when u divide, u get 5.8.....,and it is not logic to say 5.8823....weeks

since she reaches 1000 followers in the 6th week.......though there is an addition,,,, it is the most appropriate answer.

It will take [tex]6[/tex] week to reach [tex]1000[/tex] followers.

First, we are using two step to find the answers.

  1.   Division
  2.   Addition

Division:

   By given, A artist has [tex]85[/tex] followers.

Every week  the no. of. followers is doubled .

Now, find how many week the artist reach [tex]1000[/tex] followers.

Since week followers is doubled,

So ,[tex]85*2[/tex]

Thus,

 [tex]1000\div(85*2)\\\\=1000\div170\\\\=5.883[/tex]

Which is not possible .

Then, it take [tex]6[/tex]  week to reach the  [tex]1000[/tex] followers.

Addition:

    By given, A artist has [tex]85[/tex] followers.

Every week  the no. of. followers is doubled .

To find how many week the artist reach [tex]1000[/tex] followers.

Now, the first week has [tex]85[/tex] followers.

[tex]85[/tex] followers doubled.

[tex]85+85=170[/tex] followers doubled in every week .

Then,

  • Second week has   [tex]85+85=170[/tex] followers.
  • Third week has    [tex]170+170=340[/tex] followers.
  • Fourth week has  [tex]340+170=680[/tex] followers.
  • Fifth week has      [tex]680+170= 850[/tex] followers.
  • Sixth week has     [tex]850+170= 1020[/tex] followers.

Hence, the artist reach [tex]1000[/tex] followers in mid week of [tex]5[/tex] to [tex]6[/tex] week .

so, it approximately take  [tex]5.88[/tex] week to reach [tex]1000[/tex] followers but which is impossible to take decimal in week .

Thus, the artist take [tex]6[/tex] week to reach the [tex]1000[/tex] followers.

For more information:

https://brainly.com/question/17367033